Advertisements
Advertisements
Question
If A = `[(1, 2),(3, 4)]`, B = `[(6, 1),(1, 1)]` and C = `[(-2, -3),(0, 1)]`, find the following and state if they are equal A + CB
Solution
CB = `[(-2, -3),(0, 1)][(6, 1),(1, 1)]`
= `[(-12 - 3, -2 - 3),(0 + 1, 0 + 1)]`
= `[(-15, -5),(1, 1)]`
A + CB = `[(1, 2),(3, 4)] + [(-15, -5),(1, 1)]`
= `[(-14, -3),(4, 5)]`
Thus, CA + B ≠ A + CB
APPEARS IN
RELATED QUESTIONS
Given A = `[(2, -6),(2, 0)]`, B = `[(-3, 2),(4, 0)]` and C = `[(4, 0),(0, 2)]`. Find the matrix X such that A + 2X = 2B + C.
Evaluate:
`6[(3),(-2)] -2[(-8),(1)]`
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `1/2 A - 1/3 A^t`
Evaluate if possible `[(1, -2)][(-2, 3),(-1, 4)]`
If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find B2A
Given `A = [(4, 1), (2,3)] and B = [(1, 0),(-2, 1)]` Find `A^2 - AB + 2B`
If `A = [(1, 4),(1, -3)]` and `B = [(1, 2),(-1, -1)]` Find `A^2 + B^2`
If `[(x, y)][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]`; find x and y, if:
- x, y ∈ W (whole numbers)
- x, y ∈ Z (integers)
If `[x, y][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]` find x and y if `x, y ∈ Z` (integer)
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]` Find the values of x and y